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Finding the Fourth Proportional to 649.30, 973.14 and 534.28

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Solution

The fourth proportional to 649.30, 973.14 and 534.28 is: 800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.30 : 973.14 = 534.28 : x
  2. Step 2: Convert to fraction form
    649.30/973.14 = 534.28/x
  3. Step 3: Cross multiply
    649.30x = 973.14 × 534.28
  4. Step 4: Simplify right side
    649.30x = 519,929.24
  5. Step 5: Solve for x
    x = 519,929.24/649.30
  6. Step 6: Final answer
    x = 800.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.